Least Common Multiple of 743/31, 382/58, 168/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/31, 382/58, 168/28 quickly i.e. 23841384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/31, 382/58, 168/28 is 23841384.

LCM(743/31, 382/58, 168/28) = 23841384

LCM of 743/31, 382/58, 168/28

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 743/31,382/58,168/28

Given numbers are 743/31,382/58,168/28

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 743,382,168

Least Common Multiple of Numerators i.e. LCM of 743,382,168 is 23841384.

GCF of Denominators means GCF of 31,58,28 as per the given fractions.

GCF of 31,58,28 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,382,168

LCM of Fractions 743/31,382/58,168/28 is 23841384

2 743, 382, 168
743, 191, 84

∴ So the LCM of the given numbers is 2 x 743 x 191 x 84 = 23841384

Least Common Multiple of 743,382,168 with GCF Formula

Least Common Multiple of 743,382,168 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 743,382,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,382,168) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(743,382,168) x common factors =1 x 2 = 2

LCM(743,382,168) = ( 743 × 382 × 168 ) / 2

LCM(743,382,168) = 47682768 / 2

LCM(743,382,168) = 23841384


Lets's calculate GCF of 31,58,28

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23841384/1

Therefore the LCM of Fractions 743/31,382/58,168/28 is 23841384

Greatest Common Factor of 31,58,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,58,28 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 31,58,28 . The biggest common factor number is the GCF number.
So the greatest common factor 31,58,28 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 743/31, 382/58, 168/28

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 743/31, 382/58, 168/28?

Answer: LCM of Numerators as per given numbers 743/31, 382/58, 168/28 is

LCM of Numerators i.e. for 743,382,168 is 23841384

GCF of denominators i.e. for 31,58,28 is 1.

Thus, LCM of Fractions is 23841384.Finally, LCM of Fractions for 743/31, 382/58, 168/28 is 23841384.